Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems

DOI10.1186/s13660-023-03002-3zbMath1527.54066OpenAlexW4383533559WikidataQ123000041 ScholiaQ123000041MaRDI QIDQ6142182

Rahul Shukla, Satish Shukla, Nikita Dubey

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-03002-3

zbMATH Keywords

contractionBanach algebrafixed pointgraphical cone metric spacesystem of initial value problems

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Initial value problems for linear first-order PDEs (35F10)

Cites Work

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• Periodic points of T-Ciric generalized contraction mappings in ordered metric spaces
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• The contraction principle for mappings on a metric space with a graph

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